We completely classify the Q-factorial terminal toric Fano three-folds such that sum of squared torus invariant prime divisors is non-negative.

Software realization of complex spectra analysis algorithm is proposed, which is based on using the non-linear minimization of the sum of squared residuals and set of criteria, which check their statistical properties.

Given a query DNA sequence, our goal is to find in the DNA sequence database all the sequence segments that are similar to the query. In this paper we present a stringto-signal transform technique that can transform a DNA sequence into a four-channel signal. Without considering gaps, the edit distance between two DNA sequences can be calculated as the sum of absolute difference (SAD) between th...

In image registration of medical data a common and challenging problem is handling intensity-inhomogeneities. These inhomogeneities appear for instance in images of serially sectioned brains caused by the histological staining process or in medical imaging with contrast agents. Beneath this, natural outliers (for instance cells or vessels) produced by the underlying material itself may be mista...

In recent years wavelet based synopses were shown to be effective for approximate queries in database systems. The simplest wavelet synopses are constructed by computing the Haar transform over a vector consisting of either the raw-data or the prefix-sums of the data, and using a greedy-heuristic to select the wavelet coefficients that are kept in the synopsis. The greedy-heuristic is known to ...

Abstract: We investigate the derivation of optimal interest rate rules in a simple stochastic framework. The monetary authority chooses to minimise an asymmetric loss function made up of the sum of squared components, where the monetary authority places positive weight on squared negative (positive) deviations of output (inflation) and zero weight on squared positive (negative) deviations. Rece...

Block matching (BM) motion estimation plays a very important role in video coding. In a BM approach, image frames in a video sequence are divided into blocks. For each block in the current frame, the best matching block is identified inside a region of the previous frame, aiming to minimize the sum of absolute differences (SAD). Unfortunately, the SAD evaluation is computationally expensive and...

Mutual Information (MI) and normalized mutual information (NMI) are popular choices as similarity measure for multimodal image registration. Presently, one of two approaches is often used for estimating these measures: The Parzen Window (PW) and the Generalized Partial Volume (GPV). Their theoretical relation has so far been unexplored. We present the direct connection between PW and GPV for NM...